Duality in the optimal control of distributed parameter systems governed by hyperbolic equations

被引：0

作者：

Park, JY ^{[1
]}

Lee, MJ ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2000年 / 31卷 / 04期

关键词：

duality; optimal control; distributed control systems; hyperbolic equations;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the duality theory of hyperbolic equations. The main objective is to prove the duality theorem under general conditions within an infinite-dimensional framework. An example of its application is also given.

引用

页码：451 / 460

页数：10

共 50 条

[1] Duality in the optimal control problems for nonlinear hyperbolic distributed parameter systems
Park, JY
Lee, MJ
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2002, 33 (08): : 1227 - 1238
[2] Duality in the optimal control problems for hyperbolic distributed parameter systems with damping terms
Park, JY
Lee, MJ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 227 (02) : 449 - 461
[3] Regional Optimal Control Problem Governed by Distributed Bi-linear Hyperbolic Systems
Zine, Rabie
Sidi, Maawiya Ould
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2018, 16 (03) : 1060 - 1069
[4] Regional Optimal Control Problem Governed by Distributed Bi-linear Hyperbolic Systems
Rabie Zine
Maawiya Ould Sidi
International Journal of Control, Automation and Systems, 2018, 16 : 1060 - 1069
[5] Optimal Control Problems for Nonlinear Hyperbolic Distributed Parameter Systems with Damping Terms
Ha, Junhong
Nakagiri, Shin-ichi
FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2004, 47 (01): : 1 - 23
[6] Feedback control of hyperbolic distributed parameter systems
Shang, HL
Forbes, JF
Guay, M
CHEMICAL ENGINEERING SCIENCE, 2005, 60 (04) : 969 - 980
[7] Optimal control of systems governed by some elliptic equations
Ledzewicz, U
Walczak, S
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 1999, 5 (02) : 279 - 290
[8] Linear Quadratic Optimal Control for Systems Governed by First-Order Hyperbolic Partial Differential Equations
XUE Xiaomin
XU Juanjuan
ZHANG Huanshui
JournalofSystemsScience&Complexity, 2024, 37 (01) : 230 - 252
[9] Linear Quadratic Optimal Control for Systems Governed by First-Order Hyperbolic Partial Differential Equations
Xue, Xiaomin
Xu, Juanjuan
Zhang, Huanshui
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2024, 37 (01) : 230 - 252
[10] Linear Quadratic Optimal Control for Systems Governed by First-Order Hyperbolic Partial Differential Equations
Xiaomin Xue
Juanjuan Xu
Huanshui Zhang
Journal of Systems Science and Complexity, 2024, 37 : 230 - 252

← 1 2 3 4 5 →